NRICH topics: Cross-curricular contexts Biology

Resources tagged with: Biology

There are 60 NRICH Mathematical resources connected to Biology, you may find related items under Cross-curricular contexts.

Broad Topics > Cross-curricular contexts > Biology

Problem Primary curriculum Secondary curriculum

Ratios and Dilutions

Scientists often require solutions which are diluted to a particular concentration. In this problem, you can explore the mathematics of simple dilutions

Age 14 to 16

Challenge Level

Problem Primary curriculum Secondary curriculum

A Question of Scale

Use your skill and knowledge to place various scientific lengths in order of size. Can you judge the length of objects with sizes ranging from 1 Angstrom to 1 million km with no wrong attempts?

Age 14 to 16

Challenge Level

Problem Primary curriculum Secondary curriculum

Chi-squared Faker

How would you massage the data in this Chi-squared test to both accept and reject the hypothesis?

Age 16 to 18

Challenge Level

Problem Primary curriculum Secondary curriculum

Mixing pH

Use the logarithm to work out these pH values

Age 16 to 18

Challenge Level

Problem Primary curriculum Secondary curriculum

Blood Buffers

Investigate the mathematics behind blood buffers and derive the form of a titration curve.

Age 16 to 18

Challenge Level

Problem Primary curriculum Secondary curriculum

Real-life Equations

Here are several equations from real life. Can you work out which measurements are possible from each equation?

Age 16 to 18

Challenge Level

Problem Primary curriculum Secondary curriculum

Stats Statements

Are these statistical statements sometimes, always or never true? Or it is impossible to say?

Age 16 to 18

Challenge Level

Problem Primary curriculum Secondary curriculum

Very Old Man

Is the age of this very old man statistically believable?

Age 16 to 18

Challenge Level

List Primary curriculum Secondary curriculum

Population Dynamics Collection

This is our collection of tasks on the mathematical theme of 'Population Dynamics' for advanced students and those interested in mathematical modelling.

Age 16 to 18

Challenge Level

Problem Primary curriculum Secondary curriculum

Population Dynamics - Part 1

First in our series of problems on population dynamics for advanced students.

Age 16 to 18

Challenge Level

Problem Primary curriculum Secondary curriculum

Robot Camera

Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?

Age 14 to 16

Challenge Level

Problem Primary curriculum Secondary curriculum

Bird-brained

How many eggs should a bird lay to maximise the number of chicks that will hatch? An introduction to optimisation.

Age 16 to 18

Challenge Level

Problem Primary curriculum Secondary curriculum

Alternative Record Book

In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.

Age 14 to 18

Challenge Level

Problem Primary curriculum Secondary curriculum

Population Ecology Using Probability

An advanced mathematical exploration supporting our series of articles on population dynamics for advanced students.

Age 16 to 18

Challenge Level

Problem Primary curriculum Secondary curriculum

Big and Small Numbers in the Living World

Work with numbers big and small to estimate and calculate various quantities in biological contexts.

Age 11 to 16

Challenge Level

Problem Primary curriculum Secondary curriculum

Population Dynamics - Part 5

Fifth in our series of problems on population dynamics for advanced students.

Age 16 to 18

Challenge Level

Problem Primary curriculum Secondary curriculum

Population Dynamics - Part 6

Sixth in our series of problems on population dynamics for advanced students.

Age 16 to 18

Challenge Level

Problem Primary curriculum Secondary curriculum

Branching Processes and Extinction

An advanced mathematical exploration supporting our series of articles on population dynamics for advanced students.

Age 16 to 18

Challenge Level

Problem Primary curriculum Secondary curriculum

Population Dynamics - Part 4

Fourth in our series of problems on population dynamics for advanced students.

Age 16 to 18

Challenge Level

Problem Primary curriculum Secondary curriculum

Population Dynamics

This problem opens a major sequence of activities on the mathematics of population dynamics for advanced students.

Age 16 to 18

Challenge Level

Problem Primary curriculum Secondary curriculum

Population Dynamics - Part 2

Second in our series of problems on population dynamics for advanced students.

Age 16 to 18

Challenge Level

Problem Primary curriculum Secondary curriculum

Population Dynamics - Part 3

Third in our series of problems on population dynamics for advanced students.

Age 16 to 18

Challenge Level

Problem Primary curriculum Secondary curriculum

Is Your DNA Unique?

Use combinatoric probabilities to work out the probability that you are genetically unique!

Age 16 to 18

Challenge Level

Problem Primary curriculum Secondary curriculum

Graphic Biology

Several graphs of the sort occurring commonly in biology are given. How many processes can you map to each graph?

Age 16 to 18

Challenge Level

Problem Primary curriculum Secondary curriculum

Why Multiply When You're about to Divide?

A brief introduction to PCR and restriction mapping, with relevant calculations...

Age 16 to 18

Challenge Level

Article Primary curriculum Secondary curriculum

Dip your toe into the fascinating topic of genetics. From Mendel's theories to some cutting edge experimental techniques, this article gives an insight into some of the processes underlying a fundamental biological discipline.

Age 16 to 18

Problem Primary curriculum Secondary curriculum

Predator - Prey Systems

See how differential equations might be used to make a realistic model of a system containing predators and their prey.

Age 16 to 18

Challenge Level

Problem Primary curriculum Secondary curriculum

Approximately Certain

Estimate these curious quantities sufficiently accurately that you can rank them in order of size

Age 14 to 18

Challenge Level

Problem Primary curriculum Secondary curriculum

Whose Line Graph Is it Anyway?

Which line graph, equations and physical processes go together?

Age 16 to 18

Challenge Level

General Primary curriculum Secondary curriculum

chemNRICH

chemNRICH is the area of the stemNRICH site devoted to the mathematics underlying the study of chemistry, designed to help develop the mathematics required to get the most from your study of chemistry at A-level and university.

Age 14 to 18

Challenge Level

General Primary curriculum Secondary curriculum

Core Scientific Mathematics

This is the area of the advanced stemNRICH site devoted to the core applied mathematics underlying the sciences.

Age 14 to 18

Challenge Level

Problem Primary curriculum Secondary curriculum

Drug Stabiliser

How does the half-life of a drug affect the build up of medication in the body over time?

Age 16 to 18

Challenge Level

Problem Primary curriculum Secondary curriculum

Reaction Types

Explore the rates of growth of the sorts of simple polynomials often used in mathematical modelling.

Age 16 to 18

Challenge Level

Article Primary curriculum Secondary curriculum

Neural Nets

Find out some of the mathematics behind neural networks.

Age 16 to 18

Problem Primary curriculum Secondary curriculum

The Genes of Gilgamesh

Can you work out the parentage of the ancient hero Gilgamesh?

Age 14 to 16

Challenge Level

Problem Primary curriculum Secondary curriculum

Extreme Dissociation

In this question we push the pH formula to its theoretical limits.

Age 16 to 18

Challenge Level

Problem Primary curriculum Secondary curriculum

pH Temperature

At what temperature is the pH of water exactly 7?

Age 16 to 18

Challenge Level

Problem Primary curriculum Secondary curriculum

Exact Dilutions

Which exact dilution ratios can you make using only 2 dilutions?

Age 14 to 16

Challenge Level

Problem Primary curriculum Secondary curriculum

Investigating the Dilution Series

Which dilutions can you make using only 10ml pipettes?

Age 14 to 16

Challenge Level

Problem Primary curriculum Secondary curriculum

Dilution Series Calculator

Which dilutions can you make using 10ml pipettes and 100ml measuring cylinders?

Age 14 to 16

Challenge Level

Problem Primary curriculum Secondary curriculum

Packing 3D Shapes

What 3D shapes occur in nature. How efficiently can you pack these shapes together?

Age 14 to 16

Challenge Level

Problem Primary curriculum Secondary curriculum

Fitting Flat Shapes

How efficiently can various flat shapes be fitted together?

Age 16 to 18

Challenge Level

Problem Primary curriculum Secondary curriculum

Choose Your Units

Which units would you choose best to fit these situations?

Age 14 to 16

Challenge Level

General Primary curriculum Secondary curriculum

Mathematical Issues for Biologists

STEM students at university often encounter mathematical difficulties. This articles highlights the 8 key problems for biologists.

Age 16 to 18

Challenge Level

Problem Primary curriculum Secondary curriculum

Bigger or Smaller?

When you change the units, do the numbers get bigger or smaller?

Age 14 to 16

Challenge Level

Problem Primary curriculum Secondary curriculum

Catalyse That!

Can you work out how to produce the right amount of chemical in a temperature-dependent reaction?

Age 16 to 18

Challenge Level

Problem Primary curriculum Secondary curriculum

Mixed up Mixture

Can you fill in the mixed up numbers in this dilution calculation?

Age 14 to 16

Challenge Level

General Primary curriculum Secondary curriculum

bioNRICH

bioNRICH is the area of the stemNRICH site devoted to the mathematics underlying the study of the biological sciences, designed to help develop the mathematics required to get the most from your study of biology at A-level and university.

Age 14 to 18

Challenge Level